<s>
The	O
analytic	B-Algorithm
element	I-Algorithm
method	I-Algorithm
(	O
AEM	O
)	O
is	O
a	O
numerical	B-General_Concept
method	O
used	O
for	O
the	O
solution	O
of	O
partial	O
differential	O
equations	O
.	O
</s>
<s>
It	O
is	O
similar	O
in	O
nature	O
to	O
the	O
boundary	B-Algorithm
element	I-Algorithm
method	I-Algorithm
(	O
BEM	O
)	O
,	O
as	O
it	O
does	O
not	O
rely	O
upon	O
the	O
discretization	O
of	O
volumes	O
or	O
areas	O
in	O
the	O
modeled	O
system	O
;	O
only	O
internal	O
and	O
external	O
boundaries	O
are	O
discretized	O
.	O
</s>
<s>
The	O
basic	O
premise	O
of	O
the	O
analytic	B-Algorithm
element	I-Algorithm
method	I-Algorithm
is	O
that	O
,	O
for	O
linear	O
differential	O
equations	O
,	O
elementary	O
solutions	O
may	O
be	O
superimposed	O
to	O
obtain	O
more	O
complex	O
solutions	O
.	O
</s>
<s>
To	O
obtain	O
a	O
global	O
solution	O
(	O
i.e.	O
,	O
the	O
correct	O
element	O
coefficients	O
)	O
,	O
a	O
system	O
of	O
equations	O
is	O
solved	O
such	O
that	O
the	O
boundary	O
conditions	O
are	O
satisfied	O
along	O
all	O
of	O
the	O
elements	O
(	O
using	O
collocation	B-Algorithm
,	O
least-squares	B-Algorithm
minimization	I-Algorithm
,	O
or	O
a	O
similar	O
approach	O
)	O
.	O
</s>
<s>
The	O
analytic	B-Algorithm
element	I-Algorithm
method	I-Algorithm
has	O
been	O
applied	O
to	O
problems	O
of	O
groundwater	O
flow	O
governed	O
by	O
a	O
variety	O
of	O
linear	O
partial	O
differential	O
equations	O
including	O
the	O
Laplace	O
,	O
the	O
Poisson	O
equation	O
,	O
the	O
modified	O
Helmholtz	O
equation	O
,	O
the	O
heat	O
equation	O
,	O
and	O
the	O
biharmonic	O
equations	O
.	O
</s>
<s>
In	O
the	O
analytic	B-Algorithm
element	I-Algorithm
method	I-Algorithm
the	O
discharge	O
potential	O
and	O
stream	O
function	O
,	O
or	O
combined	O
the	O
complex	O
potential	O
,	O
are	O
used	O
.	O
</s>
<s>
A	O
contemporary	O
student	O
of	O
Strack	O
's	O
who	O
is	O
a	O
proponent	O
of	O
the	O
Analytic	B-Algorithm
Element	I-Algorithm
Method	I-Algorithm
(	O
AEM	O
)	O
in	O
groundwater	O
modeling	O
applications	O
is	O
Dr.	O
David	O
Steward	O
of	O
North	O
Dakota	O
State	O
University	O
.	O
</s>
<s>
As	O
mentioned	O
the	O
analytic	B-Algorithm
element	I-Algorithm
method	I-Algorithm
thus	O
does	O
not	O
rely	O
on	O
the	O
discretization	O
of	O
volume	O
or	O
area	O
in	O
the	O
model	O
,	O
as	O
in	O
the	O
finite	B-Application
elements	I-Application
or	O
finite	B-Algorithm
different	I-Algorithm
methods	O
.	O
</s>
<s>
the	O
finite	B-Application
elements	I-Application
or	O
finite	B-Algorithm
different	I-Algorithm
method	O
,	O
the	O
AEM	O
does	O
not	O
discrete	O
the	O
model	O
domain	O
into	O
cells	O
.	O
</s>
